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Finding the Fourth Proportional to 183.02, 252.61 and 108.35

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Solution

The fourth proportional to 183.02, 252.61 and 108.35 is: 149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 252.61 = 108.35 : x
  2. Step 2: Convert to fraction form
    183.02/252.61 = 108.35/x
  3. Step 3: Cross multiply
    183.02x = 252.61 × 108.35
  4. Step 4: Simplify right side
    183.02x = 27,369.91
  5. Step 5: Solve for x
    x = 27,369.91/183.02
  6. Step 6: Final answer
    x = 149.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.